From Venice to Interlaken, you can buy a ticket as far as Spiez at http://www.trenitalia.com/tcom-en
From Spiez it is just a short connecting train to Interlaken.
There are number of reasons that a Eurail is not a good value for you. I will excerpt from an answer I gave on another thread.
The Eurail pass only gives a 25% reduction between Interlaken Ost and the rest of the Berner Oberland, like Lauterbrunnen and the Jungfraujoch. That is why I suggest getting 30-day Swiss Half Fare Cards. You can also get a train specific advance purchase tickets for the TGV from Paris to Basel, which you get a discount. The other problem with the Eurail pass is that you will need to purchase seat reservations for the TGV train to Basel, about 10 EUR each or thereabouts for each passenger. They also limit the number of Eurail pass holders on the train, so you can still get shut out of the train you want if you do not make reservations soon enough. Italy, trains are less expensive, you might also find a "Bimbi Gratis" deal where kids ride free on the fast Freccia trains. Regional trains for short distances are very cheap and you can thank the taxpayers of Italy for that. In Italy, the Freccia trains require a 10 EUR seat reservation to be purchased for each passenger when using a Eurail pass. They are included when you buy tickets outright.
This person was going in the opposite direction, but my opinion holds. With the Swiss 30-day Half Fare Card, you can also get a free Family Card so you kids will ride with you for free. As I said, for Rome to Florence and Florence, the Bimbi Gratis deal holds and the kids ride free on the Freccia Trains when the parents buy full fare tickets. This deal is not available for Venice to Spiez, but you can probably get a "Smart" fare on the EC train when you buy advance purchase nonrefundable tickets. For Interlaken to Paris, take a Swiss train to Basel, using the Half Fare Card and the Family Card, then book tickets from Basel to Paris at https://en.voyages-sncf.com/en/tgv
For these advance purchase tickets, prices only go up, so the sooner you can commit and buy, the lower the price.